Set-Valued and Variational Analysis

Top Research Topics at Set-valued and Variational Analysis?

The foci of Set-valued and Variational Analysis are Mathematical analysis, Pure mathematics, Applied mathematics, Mathematical optimization and Discrete mathematics. Many of the studies tackled connect Mathematical analysis with a similar field of study like Nonlinear system. Pure mathematics research presented in Set-valued and Variational Analysis encompasses a variety of subjects, including Convex function, Regular polygon, Monotone polygon and Subderivative.

The Monotone polygon works featured in the journal incorporate elements from Type (model theory) and Monotonic function. The studies tackled, which mainly focus on Monotonic function, apply to Combinatorics as well. In addition to Subderivative research, it aims to explore topics under Function (mathematics) and Convex analysis.

The Variational inequality studies presented in Set-valued and Variational Analysis fall under the field of Applied mathematics, but it also has connections to other fields such as Calmness. The journal focuses on different Mathematical optimization studies like Optimal control and Optimization problem.

• Mathematical analysis (27.53%)
• Pure mathematics (24.49%)
• Applied mathematics (23.28%)

What are the most cited papers published in the journal?

• Primal-Dual Splitting Algorithm for Solving Inclusions with Mixtures of Composite, Lipschitzian, and Parallel-Sum Type Monotone Operators (356 citations)
• A Three-Operator Splitting Scheme and its Optimization Applications (154 citations)
• Error Bounds: Necessary and Sufficient Conditions (110 citations)

Research areas of the most cited articles at Set-valued and Variational Analysis:

The journal publications focus largely on the fields of Mathematical optimization, Applied mathematics, Pure mathematics, Mathematical analysis and Discrete mathematics. The published Applied mathematics research zeroes in on concepts in Variational inequality but also tackles themes under Classification scheme. Issues in Discrete mathematics were discussed in the published papers, taking into consideration concepts from other disciplines like Fixed point and Monotone polygon.

What topics the last edition of the journal is best known for?

• Mathematical analysis
• Real number
• Algebra

The previous edition focused in particular on these issues:

The journal tackles a plethora of topics, such as Applied mathematics, Pure mathematics, Mathematical optimization, Monotone polygon and Regular polygon. The presented Applied mathematics study covers related areas such as Variational inequality and also touches on topics like Calmness. Some problems in Pure mathematics that were presented in the journal overlapped with concepts under Structure (category theory), Metric (mathematics), Convex function, Function (mathematics) and Subderivative.

Mathematical optimization research featured in it incorporates concerns from various other topics such as Stackelberg competition and Arbitrarily large. The close relationship between Monotonic function and Cardinality is one of the points of interest dissected in Monotone polygon research. The studies on Regular polygon discussed can also contribute to research in the domains of Banach space and Bounded variation.

The most cited articles from the last journal are:

• Sufficient Conditions for Metric Subregularity of Constraint Systems with Applications to Disjunctive and Ortho-Disjunctive Programs (8 citations)
• A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators (8 citations)
• Continuous Newton-like Inertial Dynamics for Monotone Inclusions (6 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

Top authors and change over time

The top authors publishing in Set-valued and Variational Analysis (based on the number of publications) are:

• Alexander J. Zaslavski (10 papers) absent at the last edition,
• Boris S. Mordukhovich (9 papers) published 1 paper at the last edition,
• Xianfu Wang (9 papers) published 1 paper at the last edition,
• Jiří V. Outrata (8 papers) absent at the last edition,
• Liwei Zhang (8 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Set-valued and Variational Analysis (based on the number of publications) are:

• University of British Columbia (19 papers) published 1 paper at the last edition the same number as at the previous edition,
• Federation University Australia (17 papers) published 3 papers at the last edition, 2 less than at the previous edition,
• University of Montpellier (17 papers) published 2 papers at the last edition,
• University of Chile (14 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• Technion – Israel Institute of Technology (14 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 12.90% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 20.37% were posted by at least one author from the top 10 institutions publishing in the journal. Another 16.67% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 27.78% of all publications and 35.19% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

• Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
• Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
• Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
• Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
• Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.